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<div class="subTitle">org.apache.commons.math3.fraction</div>
<h2 title="Class Fraction" class="title">Class Fraction</h2>
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<div class="contentContainer">
<ul class="inheritance">
<li><a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true" title="class or interface in java.lang">java.lang.Object</a></li>
<li>
<ul class="inheritance">
<li><a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Number.html?is-external=true" title="class or interface in java.lang">java.lang.Number</a></li>
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<ul class="inheritance">
<li>org.apache.commons.math3.fraction.Fraction</li>
</ul>
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<div class="description">
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<dl>
<dt>All Implemented Interfaces:</dt>
<dd><a href="http://docs.oracle.com/javase/7/docs/api/java/io/Serializable.html?is-external=true" title="class or interface in java.io">Serializable</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Comparable.html?is-external=true" title="class or interface in java.lang">Comparable</a>&lt;<a href="../../../../../org/apache/commons/math3/fraction/Fraction.html" title="class in org.apache.commons.math3.fraction">Fraction</a>&gt;, <a href="../../../../../org/apache/commons/math3/FieldElement.html" title="interface in org.apache.commons.math3">FieldElement</a>&lt;<a href="../../../../../org/apache/commons/math3/fraction/Fraction.html" title="class in org.apache.commons.math3.fraction">Fraction</a>&gt;</dd>
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<pre>public class <span class="strong">Fraction</span>
extends <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Number.html?is-external=true" title="class or interface in java.lang">Number</a>
implements <a href="../../../../../org/apache/commons/math3/FieldElement.html" title="interface in org.apache.commons.math3">FieldElement</a>&lt;<a href="../../../../../org/apache/commons/math3/fraction/Fraction.html" title="class in org.apache.commons.math3.fraction">Fraction</a>&gt;, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Comparable.html?is-external=true" title="class or interface in java.lang">Comparable</a>&lt;<a href="../../../../../org/apache/commons/math3/fraction/Fraction.html" title="class in org.apache.commons.math3.fraction">Fraction</a>&gt;, <a href="http://docs.oracle.com/javase/7/docs/api/java/io/Serializable.html?is-external=true" title="class or interface in java.io">Serializable</a></pre>
<div class="block">Representation of a rational number.

 implements Serializable since 2.0</div>
<dl><dt><span class="strong">Since:</span></dt>
  <dd>1.1</dd>
<dt><span class="strong">See Also:</span></dt><dd><a href="../../../../../serialized-form.html#org.apache.commons.math3.fraction.Fraction">Serialized Form</a></dd></dl>
</li>
</ul>
</div>
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<h3>Field Summary</h3>
<table class="overviewSummary" border="0" cellpadding="3" cellspacing="0" summary="Field Summary table, listing fields, and an explanation">
<caption><span>Fields</span><span class="tabEnd">&nbsp;</span></caption>
<tr>
<th class="colFirst" scope="col">Modifier and Type</th>
<th class="colLast" scope="col">Field and Description</th>
</tr>
<tr class="altColor">
<td class="colFirst"><code>static <a href="../../../../../org/apache/commons/math3/fraction/Fraction.html" title="class in org.apache.commons.math3.fraction">Fraction</a></code></td>
<td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/fraction/Fraction.html#FOUR_FIFTHS">FOUR_FIFTHS</a></strong></code>
<div class="block">A fraction representing "4/5".</div>
</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code>static <a href="../../../../../org/apache/commons/math3/fraction/Fraction.html" title="class in org.apache.commons.math3.fraction">Fraction</a></code></td>
<td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/fraction/Fraction.html#MINUS_ONE">MINUS_ONE</a></strong></code>
<div class="block">A fraction representing "-1 / 1".</div>
</td>
</tr>
<tr class="altColor">
<td class="colFirst"><code>static <a href="../../../../../org/apache/commons/math3/fraction/Fraction.html" title="class in org.apache.commons.math3.fraction">Fraction</a></code></td>
<td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/fraction/Fraction.html#ONE">ONE</a></strong></code>
<div class="block">A fraction representing "1".</div>
</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code>static <a href="../../../../../org/apache/commons/math3/fraction/Fraction.html" title="class in org.apache.commons.math3.fraction">Fraction</a></code></td>
<td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/fraction/Fraction.html#ONE_FIFTH">ONE_FIFTH</a></strong></code>
<div class="block">A fraction representing "1/5".</div>
</td>
</tr>
<tr class="altColor">
<td class="colFirst"><code>static <a href="../../../../../org/apache/commons/math3/fraction/Fraction.html" title="class in org.apache.commons.math3.fraction">Fraction</a></code></td>
<td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/fraction/Fraction.html#ONE_HALF">ONE_HALF</a></strong></code>
<div class="block">A fraction representing "1/2".</div>
</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code>static <a href="../../../../../org/apache/commons/math3/fraction/Fraction.html" title="class in org.apache.commons.math3.fraction">Fraction</a></code></td>
<td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/fraction/Fraction.html#ONE_QUARTER">ONE_QUARTER</a></strong></code>
<div class="block">A fraction representing "1/4".</div>
</td>
</tr>
<tr class="altColor">
<td class="colFirst"><code>static <a href="../../../../../org/apache/commons/math3/fraction/Fraction.html" title="class in org.apache.commons.math3.fraction">Fraction</a></code></td>
<td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/fraction/Fraction.html#ONE_THIRD">ONE_THIRD</a></strong></code>
<div class="block">A fraction representing "1/3".</div>
</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code>static <a href="../../../../../org/apache/commons/math3/fraction/Fraction.html" title="class in org.apache.commons.math3.fraction">Fraction</a></code></td>
<td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/fraction/Fraction.html#THREE_FIFTHS">THREE_FIFTHS</a></strong></code>
<div class="block">A fraction representing "3/5".</div>
</td>
</tr>
<tr class="altColor">
<td class="colFirst"><code>static <a href="../../../../../org/apache/commons/math3/fraction/Fraction.html" title="class in org.apache.commons.math3.fraction">Fraction</a></code></td>
<td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/fraction/Fraction.html#THREE_QUARTERS">THREE_QUARTERS</a></strong></code>
<div class="block">A fraction representing "3/4".</div>
</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code>static <a href="../../../../../org/apache/commons/math3/fraction/Fraction.html" title="class in org.apache.commons.math3.fraction">Fraction</a></code></td>
<td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/fraction/Fraction.html#TWO">TWO</a></strong></code>
<div class="block">A fraction representing "2 / 1".</div>
</td>
</tr>
<tr class="altColor">
<td class="colFirst"><code>static <a href="../../../../../org/apache/commons/math3/fraction/Fraction.html" title="class in org.apache.commons.math3.fraction">Fraction</a></code></td>
<td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/fraction/Fraction.html#TWO_FIFTHS">TWO_FIFTHS</a></strong></code>
<div class="block">A fraction representing "2/5".</div>
</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code>static <a href="../../../../../org/apache/commons/math3/fraction/Fraction.html" title="class in org.apache.commons.math3.fraction">Fraction</a></code></td>
<td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/fraction/Fraction.html#TWO_QUARTERS">TWO_QUARTERS</a></strong></code>
<div class="block">A fraction representing "2/4".</div>
</td>
</tr>
<tr class="altColor">
<td class="colFirst"><code>static <a href="../../../../../org/apache/commons/math3/fraction/Fraction.html" title="class in org.apache.commons.math3.fraction">Fraction</a></code></td>
<td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/fraction/Fraction.html#TWO_THIRDS">TWO_THIRDS</a></strong></code>
<div class="block">A fraction representing "2/3".</div>
</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code>static <a href="../../../../../org/apache/commons/math3/fraction/Fraction.html" title="class in org.apache.commons.math3.fraction">Fraction</a></code></td>
<td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/fraction/Fraction.html#ZERO">ZERO</a></strong></code>
<div class="block">A fraction representing "0".</div>
</td>
</tr>
</table>
</li>
</ul>
<!-- ======== CONSTRUCTOR SUMMARY ======== -->
<ul class="blockList">
<li class="blockList"><a name="constructor_summary">
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</a>
<h3>Constructor Summary</h3>
<table class="overviewSummary" border="0" cellpadding="3" cellspacing="0" summary="Constructor Summary table, listing constructors, and an explanation">
<caption><span>Constructors</span><span class="tabEnd">&nbsp;</span></caption>
<tr>
<th class="colOne" scope="col">Constructor and Description</th>
</tr>
<tr class="altColor">
<td class="colOne"><code><strong><a href="../../../../../org/apache/commons/math3/fraction/Fraction.html#Fraction(double)">Fraction</a></strong>(double&nbsp;value)</code>
<div class="block">Create a fraction given the double value.</div>
</td>
</tr>
<tr class="rowColor">
<td class="colOne"><code><strong><a href="../../../../../org/apache/commons/math3/fraction/Fraction.html#Fraction(double,%20double,%20int)">Fraction</a></strong>(double&nbsp;value,
        double&nbsp;epsilon,
        int&nbsp;maxIterations)</code>
<div class="block">Create a fraction given the double value and maximum error allowed.</div>
</td>
</tr>
<tr class="altColor">
<td class="colOne"><code><strong><a href="../../../../../org/apache/commons/math3/fraction/Fraction.html#Fraction(double,%20int)">Fraction</a></strong>(double&nbsp;value,
        int&nbsp;maxDenominator)</code>
<div class="block">Create a fraction given the double value and maximum denominator.</div>
</td>
</tr>
<tr class="rowColor">
<td class="colOne"><code><strong><a href="../../../../../org/apache/commons/math3/fraction/Fraction.html#Fraction(int)">Fraction</a></strong>(int&nbsp;num)</code>
<div class="block">Create a fraction from an int.</div>
</td>
</tr>
<tr class="altColor">
<td class="colOne"><code><strong><a href="../../../../../org/apache/commons/math3/fraction/Fraction.html#Fraction(int,%20int)">Fraction</a></strong>(int&nbsp;num,
        int&nbsp;den)</code>
<div class="block">Create a fraction given the numerator and denominator.</div>
</td>
</tr>
</table>
</li>
</ul>
<!-- ========== METHOD SUMMARY =========== -->
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<!--   -->
</a>
<h3>Method Summary</h3>
<table class="overviewSummary" border="0" cellpadding="3" cellspacing="0" summary="Method Summary table, listing methods, and an explanation">
<caption><span>Methods</span><span class="tabEnd">&nbsp;</span></caption>
<tr>
<th class="colFirst" scope="col">Modifier and Type</th>
<th class="colLast" scope="col">Method and Description</th>
</tr>
<tr class="altColor">
<td class="colFirst"><code><a href="../../../../../org/apache/commons/math3/fraction/Fraction.html" title="class in org.apache.commons.math3.fraction">Fraction</a></code></td>
<td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/fraction/Fraction.html#abs()">abs</a></strong>()</code>
<div class="block">Returns the absolute value of this fraction.</div>
</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code><a href="../../../../../org/apache/commons/math3/fraction/Fraction.html" title="class in org.apache.commons.math3.fraction">Fraction</a></code></td>
<td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/fraction/Fraction.html#add(org.apache.commons.math3.fraction.Fraction)">add</a></strong>(<a href="../../../../../org/apache/commons/math3/fraction/Fraction.html" title="class in org.apache.commons.math3.fraction">Fraction</a>&nbsp;fraction)</code>
<div class="block">Adds the value of this fraction to another, returning the result in reduced form.</div>
</td>
</tr>
<tr class="altColor">
<td class="colFirst"><code><a href="../../../../../org/apache/commons/math3/fraction/Fraction.html" title="class in org.apache.commons.math3.fraction">Fraction</a></code></td>
<td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/fraction/Fraction.html#add(int)">add</a></strong>(int&nbsp;i)</code>
<div class="block">Add an integer to the fraction.</div>
</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code>int</code></td>
<td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/fraction/Fraction.html#compareTo(org.apache.commons.math3.fraction.Fraction)">compareTo</a></strong>(<a href="../../../../../org/apache/commons/math3/fraction/Fraction.html" title="class in org.apache.commons.math3.fraction">Fraction</a>&nbsp;object)</code>
<div class="block">Compares this object to another based on size.</div>
</td>
</tr>
<tr class="altColor">
<td class="colFirst"><code><a href="../../../../../org/apache/commons/math3/fraction/Fraction.html" title="class in org.apache.commons.math3.fraction">Fraction</a></code></td>
<td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/fraction/Fraction.html#divide(org.apache.commons.math3.fraction.Fraction)">divide</a></strong>(<a href="../../../../../org/apache/commons/math3/fraction/Fraction.html" title="class in org.apache.commons.math3.fraction">Fraction</a>&nbsp;fraction)</code>
<div class="block">Divide the value of this fraction by another.</div>
</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code><a href="../../../../../org/apache/commons/math3/fraction/Fraction.html" title="class in org.apache.commons.math3.fraction">Fraction</a></code></td>
<td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/fraction/Fraction.html#divide(int)">divide</a></strong>(int&nbsp;i)</code>
<div class="block">Divide the fraction by an integer.</div>
</td>
</tr>
<tr class="altColor">
<td class="colFirst"><code>double</code></td>
<td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/fraction/Fraction.html#doubleValue()">doubleValue</a></strong>()</code>
<div class="block">Gets the fraction as a <code>double</code>.</div>
</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code>boolean</code></td>
<td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/fraction/Fraction.html#equals(java.lang.Object)">equals</a></strong>(<a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true" title="class or interface in java.lang">Object</a>&nbsp;other)</code>
<div class="block">Test for the equality of two fractions.</div>
</td>
</tr>
<tr class="altColor">
<td class="colFirst"><code>float</code></td>
<td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/fraction/Fraction.html#floatValue()">floatValue</a></strong>()</code>
<div class="block">Gets the fraction as a <code>float</code>.</div>
</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code>int</code></td>
<td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/fraction/Fraction.html#getDenominator()">getDenominator</a></strong>()</code>
<div class="block">Access the denominator.</div>
</td>
</tr>
<tr class="altColor">
<td class="colFirst"><code><a href="../../../../../org/apache/commons/math3/fraction/FractionField.html" title="class in org.apache.commons.math3.fraction">FractionField</a></code></td>
<td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/fraction/Fraction.html#getField()">getField</a></strong>()</code>
<div class="block">Get the <a href="../../../../../org/apache/commons/math3/Field.html" title="interface in org.apache.commons.math3"><code>Field</code></a> to which the instance belongs.</div>
</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code>int</code></td>
<td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/fraction/Fraction.html#getNumerator()">getNumerator</a></strong>()</code>
<div class="block">Access the numerator.</div>
</td>
</tr>
<tr class="altColor">
<td class="colFirst"><code>static <a href="../../../../../org/apache/commons/math3/fraction/Fraction.html" title="class in org.apache.commons.math3.fraction">Fraction</a></code></td>
<td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/fraction/Fraction.html#getReducedFraction(int,%20int)">getReducedFraction</a></strong>(int&nbsp;numerator,
                  int&nbsp;denominator)</code>
<div class="block">Creates a <code>Fraction</code> instance with the 2 parts
 of a fraction Y/Z.</div>
</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code>int</code></td>
<td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/fraction/Fraction.html#hashCode()">hashCode</a></strong>()</code>
<div class="block">Gets a hashCode for the fraction.</div>
</td>
</tr>
<tr class="altColor">
<td class="colFirst"><code>int</code></td>
<td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/fraction/Fraction.html#intValue()">intValue</a></strong>()</code>
<div class="block">Gets the fraction as an <code>int</code>.</div>
</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code>long</code></td>
<td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/fraction/Fraction.html#longValue()">longValue</a></strong>()</code>
<div class="block">Gets the fraction as a <code>long</code>.</div>
</td>
</tr>
<tr class="altColor">
<td class="colFirst"><code><a href="../../../../../org/apache/commons/math3/fraction/Fraction.html" title="class in org.apache.commons.math3.fraction">Fraction</a></code></td>
<td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/fraction/Fraction.html#multiply(org.apache.commons.math3.fraction.Fraction)">multiply</a></strong>(<a href="../../../../../org/apache/commons/math3/fraction/Fraction.html" title="class in org.apache.commons.math3.fraction">Fraction</a>&nbsp;fraction)</code>
<div class="block">Multiplies the value of this fraction by another, returning the
 result in reduced form.</div>
</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code><a href="../../../../../org/apache/commons/math3/fraction/Fraction.html" title="class in org.apache.commons.math3.fraction">Fraction</a></code></td>
<td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/fraction/Fraction.html#multiply(int)">multiply</a></strong>(int&nbsp;i)</code>
<div class="block">Multiply the fraction by an integer.</div>
</td>
</tr>
<tr class="altColor">
<td class="colFirst"><code><a href="../../../../../org/apache/commons/math3/fraction/Fraction.html" title="class in org.apache.commons.math3.fraction">Fraction</a></code></td>
<td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/fraction/Fraction.html#negate()">negate</a></strong>()</code>
<div class="block">Return the additive inverse of this fraction.</div>
</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code>double</code></td>
<td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/fraction/Fraction.html#percentageValue()">percentageValue</a></strong>()</code>
<div class="block">
 Gets the fraction percentage as a <code>double</code>.</div>
</td>
</tr>
<tr class="altColor">
<td class="colFirst"><code><a href="../../../../../org/apache/commons/math3/fraction/Fraction.html" title="class in org.apache.commons.math3.fraction">Fraction</a></code></td>
<td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/fraction/Fraction.html#reciprocal()">reciprocal</a></strong>()</code>
<div class="block">Return the multiplicative inverse of this fraction.</div>
</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code><a href="../../../../../org/apache/commons/math3/fraction/Fraction.html" title="class in org.apache.commons.math3.fraction">Fraction</a></code></td>
<td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/fraction/Fraction.html#subtract(org.apache.commons.math3.fraction.Fraction)">subtract</a></strong>(<a href="../../../../../org/apache/commons/math3/fraction/Fraction.html" title="class in org.apache.commons.math3.fraction">Fraction</a>&nbsp;fraction)</code>
<div class="block">Subtracts the value of another fraction from the value of this one,
 returning the result in reduced form.</div>
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</tr>
<tr class="altColor">
<td class="colFirst"><code><a href="../../../../../org/apache/commons/math3/fraction/Fraction.html" title="class in org.apache.commons.math3.fraction">Fraction</a></code></td>
<td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/fraction/Fraction.html#subtract(int)">subtract</a></strong>(int&nbsp;i)</code>
<div class="block">Subtract an integer from the fraction.</div>
</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code><a href="http://docs.oracle.com/javase/7/docs/api/java/lang/String.html?is-external=true" title="class or interface in java.lang">String</a></code></td>
<td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/fraction/Fraction.html#toString()">toString</a></strong>()</code>
<div class="block">
 Returns the <code>String</code> representing this fraction, ie
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<h3>Methods inherited from class&nbsp;java.lang.<a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Number.html?is-external=true" title="class or interface in java.lang">Number</a></h3>
<code><a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Number.html?is-external=true#byteValue()" title="class or interface in java.lang">byteValue</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Number.html?is-external=true#shortValue()" title="class or interface in java.lang">shortValue</a></code></li>
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<h3>Methods inherited from class&nbsp;java.lang.<a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true" title="class or interface in java.lang">Object</a></h3>
<code><a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#clone()" title="class or interface in java.lang">clone</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#finalize()" title="class or interface in java.lang">finalize</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#getClass()" title="class or interface in java.lang">getClass</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#notify()" title="class or interface in java.lang">notify</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#notifyAll()" title="class or interface in java.lang">notifyAll</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#wait()" title="class or interface in java.lang">wait</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#wait(long)" title="class or interface in java.lang">wait</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#wait(long,%20int)" title="class or interface in java.lang">wait</a></code></li>
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<pre>public static final&nbsp;<a href="../../../../../org/apache/commons/math3/fraction/Fraction.html" title="class in org.apache.commons.math3.fraction">Fraction</a> TWO</pre>
<div class="block">A fraction representing "2 / 1".</div>
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<pre>public static final&nbsp;<a href="../../../../../org/apache/commons/math3/fraction/Fraction.html" title="class in org.apache.commons.math3.fraction">Fraction</a> ONE</pre>
<div class="block">A fraction representing "1".</div>
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<pre>public static final&nbsp;<a href="../../../../../org/apache/commons/math3/fraction/Fraction.html" title="class in org.apache.commons.math3.fraction">Fraction</a> ZERO</pre>
<div class="block">A fraction representing "0".</div>
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<pre>public static final&nbsp;<a href="../../../../../org/apache/commons/math3/fraction/Fraction.html" title="class in org.apache.commons.math3.fraction">Fraction</a> FOUR_FIFTHS</pre>
<div class="block">A fraction representing "4/5".</div>
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<pre>public static final&nbsp;<a href="../../../../../org/apache/commons/math3/fraction/Fraction.html" title="class in org.apache.commons.math3.fraction">Fraction</a> ONE_FIFTH</pre>
<div class="block">A fraction representing "1/5".</div>
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<pre>public static final&nbsp;<a href="../../../../../org/apache/commons/math3/fraction/Fraction.html" title="class in org.apache.commons.math3.fraction">Fraction</a> ONE_HALF</pre>
<div class="block">A fraction representing "1/2".</div>
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<pre>public static final&nbsp;<a href="../../../../../org/apache/commons/math3/fraction/Fraction.html" title="class in org.apache.commons.math3.fraction">Fraction</a> ONE_QUARTER</pre>
<div class="block">A fraction representing "1/4".</div>
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<pre>public static final&nbsp;<a href="../../../../../org/apache/commons/math3/fraction/Fraction.html" title="class in org.apache.commons.math3.fraction">Fraction</a> ONE_THIRD</pre>
<div class="block">A fraction representing "1/3".</div>
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<pre>public static final&nbsp;<a href="../../../../../org/apache/commons/math3/fraction/Fraction.html" title="class in org.apache.commons.math3.fraction">Fraction</a> THREE_FIFTHS</pre>
<div class="block">A fraction representing "3/5".</div>
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<pre>public static final&nbsp;<a href="../../../../../org/apache/commons/math3/fraction/Fraction.html" title="class in org.apache.commons.math3.fraction">Fraction</a> THREE_QUARTERS</pre>
<div class="block">A fraction representing "3/4".</div>
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<pre>public static final&nbsp;<a href="../../../../../org/apache/commons/math3/fraction/Fraction.html" title="class in org.apache.commons.math3.fraction">Fraction</a> TWO_FIFTHS</pre>
<div class="block">A fraction representing "2/5".</div>
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<pre>public static final&nbsp;<a href="../../../../../org/apache/commons/math3/fraction/Fraction.html" title="class in org.apache.commons.math3.fraction">Fraction</a> TWO_QUARTERS</pre>
<div class="block">A fraction representing "2/4".</div>
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<pre>public static final&nbsp;<a href="../../../../../org/apache/commons/math3/fraction/Fraction.html" title="class in org.apache.commons.math3.fraction">Fraction</a> TWO_THIRDS</pre>
<div class="block">A fraction representing "2/3".</div>
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<pre>public static final&nbsp;<a href="../../../../../org/apache/commons/math3/fraction/Fraction.html" title="class in org.apache.commons.math3.fraction">Fraction</a> MINUS_ONE</pre>
<div class="block">A fraction representing "-1 / 1".</div>
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<pre>public&nbsp;Fraction(double&nbsp;value)
         throws <a href="../../../../../org/apache/commons/math3/fraction/FractionConversionException.html" title="class in org.apache.commons.math3.fraction">FractionConversionException</a></pre>
<div class="block">Create a fraction given the double value.</div>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>value</code> - the double value to convert to a fraction.</dd>
<dt><span class="strong">Throws:</span></dt>
<dd><code><a href="../../../../../org/apache/commons/math3/fraction/FractionConversionException.html" title="class in org.apache.commons.math3.fraction">FractionConversionException</a></code> - if the continued fraction failed to
         converge.</dd></dl>
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<pre>public&nbsp;Fraction(double&nbsp;value,
        double&nbsp;epsilon,
        int&nbsp;maxIterations)
         throws <a href="../../../../../org/apache/commons/math3/fraction/FractionConversionException.html" title="class in org.apache.commons.math3.fraction">FractionConversionException</a></pre>
<div class="block">Create a fraction given the double value and maximum error allowed.
 <p>
 References:
 <ul>
 <li><a href="http://mathworld.wolfram.com/ContinuedFraction.html">
 Continued Fraction</a> equations (11) and (22)-(26)</li>
 </ul>
 </p></div>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>value</code> - the double value to convert to a fraction.</dd><dd><code>epsilon</code> - maximum error allowed.  The resulting fraction is within
        <code>epsilon</code> of <code>value</code>, in absolute terms.</dd><dd><code>maxIterations</code> - maximum number of convergents</dd>
<dt><span class="strong">Throws:</span></dt>
<dd><code><a href="../../../../../org/apache/commons/math3/fraction/FractionConversionException.html" title="class in org.apache.commons.math3.fraction">FractionConversionException</a></code> - if the continued fraction failed to
         converge.</dd></dl>
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<pre>public&nbsp;Fraction(double&nbsp;value,
        int&nbsp;maxDenominator)
         throws <a href="../../../../../org/apache/commons/math3/fraction/FractionConversionException.html" title="class in org.apache.commons.math3.fraction">FractionConversionException</a></pre>
<div class="block">Create a fraction given the double value and maximum denominator.
 <p>
 References:
 <ul>
 <li><a href="http://mathworld.wolfram.com/ContinuedFraction.html">
 Continued Fraction</a> equations (11) and (22)-(26)</li>
 </ul>
 </p></div>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>value</code> - the double value to convert to a fraction.</dd><dd><code>maxDenominator</code> - The maximum allowed value for denominator</dd>
<dt><span class="strong">Throws:</span></dt>
<dd><code><a href="../../../../../org/apache/commons/math3/fraction/FractionConversionException.html" title="class in org.apache.commons.math3.fraction">FractionConversionException</a></code> - if the continued fraction failed to
         converge</dd></dl>
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<pre>public&nbsp;Fraction(int&nbsp;num)</pre>
<div class="block">Create a fraction from an int.
 The fraction is num / 1.</div>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>num</code> - the numerator.</dd></dl>
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<pre>public&nbsp;Fraction(int&nbsp;num,
        int&nbsp;den)</pre>
<div class="block">Create a fraction given the numerator and denominator.  The fraction is
 reduced to lowest terms.</div>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>num</code> - the numerator.</dd><dd><code>den</code> - the denominator.</dd>
<dt><span class="strong">Throws:</span></dt>
<dd><code><a href="../../../../../org/apache/commons/math3/exception/MathArithmeticException.html" title="class in org.apache.commons.math3.exception">MathArithmeticException</a></code> - if the denominator is <code>zero</code></dd></dl>
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<pre>public&nbsp;<a href="../../../../../org/apache/commons/math3/fraction/Fraction.html" title="class in org.apache.commons.math3.fraction">Fraction</a>&nbsp;abs()</pre>
<div class="block">Returns the absolute value of this fraction.</div>
<dl><dt><span class="strong">Returns:</span></dt><dd>the absolute value.</dd></dl>
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<pre>public&nbsp;int&nbsp;compareTo(<a href="../../../../../org/apache/commons/math3/fraction/Fraction.html" title="class in org.apache.commons.math3.fraction">Fraction</a>&nbsp;object)</pre>
<div class="block">Compares this object to another based on size.</div>
<dl>
<dt><strong>Specified by:</strong></dt>
<dd><code><a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Comparable.html?is-external=true#compareTo(T)" title="class or interface in java.lang">compareTo</a></code>&nbsp;in interface&nbsp;<code><a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Comparable.html?is-external=true" title="class or interface in java.lang">Comparable</a>&lt;<a href="../../../../../org/apache/commons/math3/fraction/Fraction.html" title="class in org.apache.commons.math3.fraction">Fraction</a>&gt;</code></dd>
<dt><span class="strong">Parameters:</span></dt><dd><code>object</code> - the object to compare to</dd>
<dt><span class="strong">Returns:</span></dt><dd>-1 if this is less than <code>object</code>, +1 if this is greater
         than <code>object</code>, 0 if they are equal.</dd></dl>
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<pre>public&nbsp;double&nbsp;doubleValue()</pre>
<div class="block">Gets the fraction as a <code>double</code>. This calculates the fraction as
 the numerator divided by denominator.</div>
<dl>
<dt><strong>Specified by:</strong></dt>
<dd><code><a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Number.html?is-external=true#doubleValue()" title="class or interface in java.lang">doubleValue</a></code>&nbsp;in class&nbsp;<code><a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Number.html?is-external=true" title="class or interface in java.lang">Number</a></code></dd>
<dt><span class="strong">Returns:</span></dt><dd>the fraction as a <code>double</code></dd></dl>
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<pre>public&nbsp;boolean&nbsp;equals(<a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true" title="class or interface in java.lang">Object</a>&nbsp;other)</pre>
<div class="block">Test for the equality of two fractions.  If the lowest term
 numerator and denominators are the same for both fractions, the two
 fractions are considered to be equal.</div>
<dl>
<dt><strong>Overrides:</strong></dt>
<dd><code><a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#equals(java.lang.Object)" title="class or interface in java.lang">equals</a></code>&nbsp;in class&nbsp;<code><a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true" title="class or interface in java.lang">Object</a></code></dd>
<dt><span class="strong">Parameters:</span></dt><dd><code>other</code> - fraction to test for equality to this fraction</dd>
<dt><span class="strong">Returns:</span></dt><dd>true if two fractions are equal, false if object is
         <code>null</code>, not an instance of <a href="../../../../../org/apache/commons/math3/fraction/Fraction.html" title="class in org.apache.commons.math3.fraction"><code>Fraction</code></a>, or not equal
         to this fraction instance.</dd></dl>
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<pre>public&nbsp;float&nbsp;floatValue()</pre>
<div class="block">Gets the fraction as a <code>float</code>. This calculates the fraction as
 the numerator divided by denominator.</div>
<dl>
<dt><strong>Specified by:</strong></dt>
<dd><code><a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Number.html?is-external=true#floatValue()" title="class or interface in java.lang">floatValue</a></code>&nbsp;in class&nbsp;<code><a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Number.html?is-external=true" title="class or interface in java.lang">Number</a></code></dd>
<dt><span class="strong">Returns:</span></dt><dd>the fraction as a <code>float</code></dd></dl>
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<pre>public&nbsp;int&nbsp;getDenominator()</pre>
<div class="block">Access the denominator.</div>
<dl><dt><span class="strong">Returns:</span></dt><dd>the denominator.</dd></dl>
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<pre>public&nbsp;int&nbsp;getNumerator()</pre>
<div class="block">Access the numerator.</div>
<dl><dt><span class="strong">Returns:</span></dt><dd>the numerator.</dd></dl>
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<pre>public&nbsp;int&nbsp;hashCode()</pre>
<div class="block">Gets a hashCode for the fraction.</div>
<dl>
<dt><strong>Overrides:</strong></dt>
<dd><code><a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#hashCode()" title="class or interface in java.lang">hashCode</a></code>&nbsp;in class&nbsp;<code><a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true" title="class or interface in java.lang">Object</a></code></dd>
<dt><span class="strong">Returns:</span></dt><dd>a hash code value for this object</dd></dl>
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<pre>public&nbsp;int&nbsp;intValue()</pre>
<div class="block">Gets the fraction as an <code>int</code>. This returns the whole number part
 of the fraction.</div>
<dl>
<dt><strong>Specified by:</strong></dt>
<dd><code><a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Number.html?is-external=true#intValue()" title="class or interface in java.lang">intValue</a></code>&nbsp;in class&nbsp;<code><a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Number.html?is-external=true" title="class or interface in java.lang">Number</a></code></dd>
<dt><span class="strong">Returns:</span></dt><dd>the whole number fraction part</dd></dl>
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<pre>public&nbsp;long&nbsp;longValue()</pre>
<div class="block">Gets the fraction as a <code>long</code>. This returns the whole number part
 of the fraction.</div>
<dl>
<dt><strong>Specified by:</strong></dt>
<dd><code><a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Number.html?is-external=true#longValue()" title="class or interface in java.lang">longValue</a></code>&nbsp;in class&nbsp;<code><a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Number.html?is-external=true" title="class or interface in java.lang">Number</a></code></dd>
<dt><span class="strong">Returns:</span></dt><dd>the whole number fraction part</dd></dl>
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<pre>public&nbsp;<a href="../../../../../org/apache/commons/math3/fraction/Fraction.html" title="class in org.apache.commons.math3.fraction">Fraction</a>&nbsp;negate()</pre>
<div class="block">Return the additive inverse of this fraction.</div>
<dl>
<dt><strong>Specified by:</strong></dt>
<dd><code><a href="../../../../../org/apache/commons/math3/FieldElement.html#negate()">negate</a></code>&nbsp;in interface&nbsp;<code><a href="../../../../../org/apache/commons/math3/FieldElement.html" title="interface in org.apache.commons.math3">FieldElement</a>&lt;<a href="../../../../../org/apache/commons/math3/fraction/Fraction.html" title="class in org.apache.commons.math3.fraction">Fraction</a>&gt;</code></dd>
<dt><span class="strong">Returns:</span></dt><dd>the negation of this fraction.</dd></dl>
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<pre>public&nbsp;<a href="../../../../../org/apache/commons/math3/fraction/Fraction.html" title="class in org.apache.commons.math3.fraction">Fraction</a>&nbsp;reciprocal()</pre>
<div class="block">Return the multiplicative inverse of this fraction.</div>
<dl>
<dt><strong>Specified by:</strong></dt>
<dd><code><a href="../../../../../org/apache/commons/math3/FieldElement.html#reciprocal()">reciprocal</a></code>&nbsp;in interface&nbsp;<code><a href="../../../../../org/apache/commons/math3/FieldElement.html" title="interface in org.apache.commons.math3">FieldElement</a>&lt;<a href="../../../../../org/apache/commons/math3/fraction/Fraction.html" title="class in org.apache.commons.math3.fraction">Fraction</a>&gt;</code></dd>
<dt><span class="strong">Returns:</span></dt><dd>the reciprocal fraction</dd></dl>
</li>
</ul>
<a name="add(org.apache.commons.math3.fraction.Fraction)">
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<h4>add</h4>
<pre>public&nbsp;<a href="../../../../../org/apache/commons/math3/fraction/Fraction.html" title="class in org.apache.commons.math3.fraction">Fraction</a>&nbsp;add(<a href="../../../../../org/apache/commons/math3/fraction/Fraction.html" title="class in org.apache.commons.math3.fraction">Fraction</a>&nbsp;fraction)</pre>
<div class="block"><p>Adds the value of this fraction to another, returning the result in reduced form.
 The algorithm follows Knuth, 4.5.1.</p></div>
<dl>
<dt><strong>Specified by:</strong></dt>
<dd><code><a href="../../../../../org/apache/commons/math3/FieldElement.html#add(T)">add</a></code>&nbsp;in interface&nbsp;<code><a href="../../../../../org/apache/commons/math3/FieldElement.html" title="interface in org.apache.commons.math3">FieldElement</a>&lt;<a href="../../../../../org/apache/commons/math3/fraction/Fraction.html" title="class in org.apache.commons.math3.fraction">Fraction</a>&gt;</code></dd>
<dt><span class="strong">Parameters:</span></dt><dd><code>fraction</code> - the fraction to add, must not be <code>null</code></dd>
<dt><span class="strong">Returns:</span></dt><dd>a <code>Fraction</code> instance with the resulting values</dd>
<dt><span class="strong">Throws:</span></dt>
<dd><code><a href="../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</a></code> - if the fraction is <code>null</code></dd>
<dd><code><a href="../../../../../org/apache/commons/math3/exception/MathArithmeticException.html" title="class in org.apache.commons.math3.exception">MathArithmeticException</a></code> - if the resulting numerator or denominator exceeds
  <code>Integer.MAX_VALUE</code></dd></dl>
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<pre>public&nbsp;<a href="../../../../../org/apache/commons/math3/fraction/Fraction.html" title="class in org.apache.commons.math3.fraction">Fraction</a>&nbsp;add(int&nbsp;i)</pre>
<div class="block">Add an integer to the fraction.</div>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>i</code> - the <code>integer</code> to add.</dd>
<dt><span class="strong">Returns:</span></dt><dd>this + i</dd></dl>
</li>
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<a name="subtract(org.apache.commons.math3.fraction.Fraction)">
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<h4>subtract</h4>
<pre>public&nbsp;<a href="../../../../../org/apache/commons/math3/fraction/Fraction.html" title="class in org.apache.commons.math3.fraction">Fraction</a>&nbsp;subtract(<a href="../../../../../org/apache/commons/math3/fraction/Fraction.html" title="class in org.apache.commons.math3.fraction">Fraction</a>&nbsp;fraction)</pre>
<div class="block"><p>Subtracts the value of another fraction from the value of this one,
 returning the result in reduced form.</p></div>
<dl>
<dt><strong>Specified by:</strong></dt>
<dd><code><a href="../../../../../org/apache/commons/math3/FieldElement.html#subtract(T)">subtract</a></code>&nbsp;in interface&nbsp;<code><a href="../../../../../org/apache/commons/math3/FieldElement.html" title="interface in org.apache.commons.math3">FieldElement</a>&lt;<a href="../../../../../org/apache/commons/math3/fraction/Fraction.html" title="class in org.apache.commons.math3.fraction">Fraction</a>&gt;</code></dd>
<dt><span class="strong">Parameters:</span></dt><dd><code>fraction</code> - the fraction to subtract, must not be <code>null</code></dd>
<dt><span class="strong">Returns:</span></dt><dd>a <code>Fraction</code> instance with the resulting values</dd>
<dt><span class="strong">Throws:</span></dt>
<dd><code><a href="../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</a></code> - if the fraction is <code>null</code></dd>
<dd><code><a href="../../../../../org/apache/commons/math3/exception/MathArithmeticException.html" title="class in org.apache.commons.math3.exception">MathArithmeticException</a></code> - if the resulting numerator or denominator
   cannot be represented in an <code>int</code>.</dd></dl>
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<pre>public&nbsp;<a href="../../../../../org/apache/commons/math3/fraction/Fraction.html" title="class in org.apache.commons.math3.fraction">Fraction</a>&nbsp;subtract(int&nbsp;i)</pre>
<div class="block">Subtract an integer from the fraction.</div>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>i</code> - the <code>integer</code> to subtract.</dd>
<dt><span class="strong">Returns:</span></dt><dd>this - i</dd></dl>
</li>
</ul>
<a name="multiply(org.apache.commons.math3.fraction.Fraction)">
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<h4>multiply</h4>
<pre>public&nbsp;<a href="../../../../../org/apache/commons/math3/fraction/Fraction.html" title="class in org.apache.commons.math3.fraction">Fraction</a>&nbsp;multiply(<a href="../../../../../org/apache/commons/math3/fraction/Fraction.html" title="class in org.apache.commons.math3.fraction">Fraction</a>&nbsp;fraction)</pre>
<div class="block"><p>Multiplies the value of this fraction by another, returning the
 result in reduced form.</p></div>
<dl>
<dt><strong>Specified by:</strong></dt>
<dd><code><a href="../../../../../org/apache/commons/math3/FieldElement.html#multiply(T)">multiply</a></code>&nbsp;in interface&nbsp;<code><a href="../../../../../org/apache/commons/math3/FieldElement.html" title="interface in org.apache.commons.math3">FieldElement</a>&lt;<a href="../../../../../org/apache/commons/math3/fraction/Fraction.html" title="class in org.apache.commons.math3.fraction">Fraction</a>&gt;</code></dd>
<dt><span class="strong">Parameters:</span></dt><dd><code>fraction</code> - the fraction to multiply by, must not be <code>null</code></dd>
<dt><span class="strong">Returns:</span></dt><dd>a <code>Fraction</code> instance with the resulting values</dd>
<dt><span class="strong">Throws:</span></dt>
<dd><code><a href="../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</a></code> - if the fraction is <code>null</code></dd>
<dd><code><a href="../../../../../org/apache/commons/math3/exception/MathArithmeticException.html" title="class in org.apache.commons.math3.exception">MathArithmeticException</a></code> - if the resulting numerator or denominator exceeds
  <code>Integer.MAX_VALUE</code></dd></dl>
</li>
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<h4>multiply</h4>
<pre>public&nbsp;<a href="../../../../../org/apache/commons/math3/fraction/Fraction.html" title="class in org.apache.commons.math3.fraction">Fraction</a>&nbsp;multiply(int&nbsp;i)</pre>
<div class="block">Multiply the fraction by an integer.</div>
<dl>
<dt><strong>Specified by:</strong></dt>
<dd><code><a href="../../../../../org/apache/commons/math3/FieldElement.html#multiply(int)">multiply</a></code>&nbsp;in interface&nbsp;<code><a href="../../../../../org/apache/commons/math3/FieldElement.html" title="interface in org.apache.commons.math3">FieldElement</a>&lt;<a href="../../../../../org/apache/commons/math3/fraction/Fraction.html" title="class in org.apache.commons.math3.fraction">Fraction</a>&gt;</code></dd>
<dt><span class="strong">Parameters:</span></dt><dd><code>i</code> - the <code>integer</code> to multiply by.</dd>
<dt><span class="strong">Returns:</span></dt><dd>this * i</dd></dl>
</li>
</ul>
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<h4>divide</h4>
<pre>public&nbsp;<a href="../../../../../org/apache/commons/math3/fraction/Fraction.html" title="class in org.apache.commons.math3.fraction">Fraction</a>&nbsp;divide(<a href="../../../../../org/apache/commons/math3/fraction/Fraction.html" title="class in org.apache.commons.math3.fraction">Fraction</a>&nbsp;fraction)</pre>
<div class="block"><p>Divide the value of this fraction by another.</p></div>
<dl>
<dt><strong>Specified by:</strong></dt>
<dd><code><a href="../../../../../org/apache/commons/math3/FieldElement.html#divide(T)">divide</a></code>&nbsp;in interface&nbsp;<code><a href="../../../../../org/apache/commons/math3/FieldElement.html" title="interface in org.apache.commons.math3">FieldElement</a>&lt;<a href="../../../../../org/apache/commons/math3/fraction/Fraction.html" title="class in org.apache.commons.math3.fraction">Fraction</a>&gt;</code></dd>
<dt><span class="strong">Parameters:</span></dt><dd><code>fraction</code> - the fraction to divide by, must not be <code>null</code></dd>
<dt><span class="strong">Returns:</span></dt><dd>a <code>Fraction</code> instance with the resulting values</dd>
<dt><span class="strong">Throws:</span></dt>
<dd><code><a href="http://docs.oracle.com/javase/7/docs/api/java/lang/IllegalArgumentException.html?is-external=true" title="class or interface in java.lang">IllegalArgumentException</a></code> - if the fraction is <code>null</code></dd>
<dd><code><a href="../../../../../org/apache/commons/math3/exception/MathArithmeticException.html" title="class in org.apache.commons.math3.exception">MathArithmeticException</a></code> - if the fraction to divide by is zero</dd>
<dd><code><a href="../../../../../org/apache/commons/math3/exception/MathArithmeticException.html" title="class in org.apache.commons.math3.exception">MathArithmeticException</a></code> - if the resulting numerator or denominator exceeds
  <code>Integer.MAX_VALUE</code></dd></dl>
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<h4>divide</h4>
<pre>public&nbsp;<a href="../../../../../org/apache/commons/math3/fraction/Fraction.html" title="class in org.apache.commons.math3.fraction">Fraction</a>&nbsp;divide(int&nbsp;i)</pre>
<div class="block">Divide the fraction by an integer.</div>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>i</code> - the <code>integer</code> to divide by.</dd>
<dt><span class="strong">Returns:</span></dt><dd>this * i</dd></dl>
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<pre>public&nbsp;double&nbsp;percentageValue()</pre>
<div class="block"><p>
 Gets the fraction percentage as a <code>double</code>. This calculates the
 fraction as the numerator divided by denominator multiplied by 100.
 </p></div>
<dl><dt><span class="strong">Returns:</span></dt><dd>the fraction percentage as a <code>double</code>.</dd></dl>
</li>
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<h4>getReducedFraction</h4>
<pre>public static&nbsp;<a href="../../../../../org/apache/commons/math3/fraction/Fraction.html" title="class in org.apache.commons.math3.fraction">Fraction</a>&nbsp;getReducedFraction(int&nbsp;numerator,
                          int&nbsp;denominator)</pre>
<div class="block"><p>Creates a <code>Fraction</code> instance with the 2 parts
 of a fraction Y/Z.</p>

 <p>Any negative signs are resolved to be on the numerator.</p></div>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>numerator</code> - the numerator, for example the three in 'three sevenths'</dd><dd><code>denominator</code> - the denominator, for example the seven in 'three sevenths'</dd>
<dt><span class="strong">Returns:</span></dt><dd>a new fraction instance, with the numerator and denominator reduced</dd>
<dt><span class="strong">Throws:</span></dt>
<dd><code><a href="../../../../../org/apache/commons/math3/exception/MathArithmeticException.html" title="class in org.apache.commons.math3.exception">MathArithmeticException</a></code> - if the denominator is <code>zero</code></dd></dl>
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<h4>toString</h4>
<pre>public&nbsp;<a href="http://docs.oracle.com/javase/7/docs/api/java/lang/String.html?is-external=true" title="class or interface in java.lang">String</a>&nbsp;toString()</pre>
<div class="block"><p>
 Returns the <code>String</code> representing this fraction, ie
 "num / dem" or just "num" if the denominator is one.
 </p></div>
<dl>
<dt><strong>Overrides:</strong></dt>
<dd><code><a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#toString()" title="class or interface in java.lang">toString</a></code>&nbsp;in class&nbsp;<code><a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true" title="class or interface in java.lang">Object</a></code></dd>
<dt><span class="strong">Returns:</span></dt><dd>a string representation of the fraction.</dd><dt><span class="strong">See Also:</span></dt><dd><a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#toString()" title="class or interface in java.lang"><code>Object.toString()</code></a></dd></dl>
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<pre>public&nbsp;<a href="../../../../../org/apache/commons/math3/fraction/FractionField.html" title="class in org.apache.commons.math3.fraction">FractionField</a>&nbsp;getField()</pre>
<div class="block">Get the <a href="../../../../../org/apache/commons/math3/Field.html" title="interface in org.apache.commons.math3"><code>Field</code></a> to which the instance belongs.</div>
<dl>
<dt><strong>Specified by:</strong></dt>
<dd><code><a href="../../../../../org/apache/commons/math3/FieldElement.html#getField()">getField</a></code>&nbsp;in interface&nbsp;<code><a href="../../../../../org/apache/commons/math3/FieldElement.html" title="interface in org.apache.commons.math3">FieldElement</a>&lt;<a href="../../../../../org/apache/commons/math3/fraction/Fraction.html" title="class in org.apache.commons.math3.fraction">Fraction</a>&gt;</code></dd>
<dt><span class="strong">Returns:</span></dt><dd><a href="../../../../../org/apache/commons/math3/Field.html" title="interface in org.apache.commons.math3"><code>Field</code></a> to which the instance belongs</dd></dl>
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